Question

Rewrite y = 2(10)t/12 in the form y = a(1+r)t or y = a(1 - r). Round the value of r to
the nearest ten thousandth. Then tell whether the model represents exponential growth or
exponential decay.​

Answer 1

Answer:

• $y=2(1+0.2115)^t$
• Exponential growth.

Step-by-step explanation:

Given that: $y=2(10)^{t/12}$

To rewrite the model in the form $y = a(1+r)^t$ or $y = a(1 - r)^t$

$y=2(10)^{\frac{t}{12} }\\=2[(10)^\frac{1}{12}]^{t}\\=2[1.2115]^t$

$y=2(1+0.2115)^t$ is in the form $y = a(1+r)^t$ or $y = a(1 - r)^t$ where r=0.2115.

Since 1.2115>1, the model represents an exponential growth.